2566512 has 80 divisors (see below), whose sum is σ = 7950880. Its totient is φ = 787968.

The previous prime is 2566489. The next prime is 2566513. The reversal of 2566512 is 2156652.

2566512 is a `hidden beast` number, since 2 + 5 + 6 + 651 + 2 = 666.

It is a super-2 number, since 2×2566512² = 13173967692288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5388 + ... + 5844.

It is an arithmetic number, because the mean of its divisors is an integer number (99386).

2^2566512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2566512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975440).

2566512 is an abundant number, since it is smaller than the sum of its proper divisors (5384368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2566512 is a wasteful number, since it uses less digits than its factorization.

2566512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 475 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2566512 is about 1602.0337075106. The cubic root of 2566512 is about 136.9139708886.

The spelling of 2566512 in words is "two million, five hundred sixty-six thousand, five hundred twelve".